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130123442344 = 23721132937589
BaseRepresentation
bin111100100101111110…
…1100010100010101000
3110102212112012202200111
41321023331202202220
54112443100123334
6135440004544104
712254403003400
oct1711375424250
9412775182614
10130123442344
11502043221a5
12212760b2034
13c36963553c
146425a3d800
1535b8ae9064
hex1e4bf628a8

130123442344 has 48 divisors (see below), whose sum is σ = 286326897300. Its totient is φ = 55273655808.

The previous prime is 130123442321. The next prime is 130123442387. The reversal of 130123442344 is 443244321031.

It can be written as a sum of positive squares in 2 ways, for example, as 112116486244 + 18006956100 = 334838^2 + 134190^2 .

It is a super-2 number, since 2×1301234423442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1424499 + ... + 1513090.

Almost surely, 2130123442344 is an apocalyptic number.

130123442344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130123442344 is an abundant number, since it is smaller than the sum of its proper divisors (156203454956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130123442344 is a wasteful number, since it uses less digits than its factorization.

130123442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937722 (or 2937711 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 130123442344 its reverse (443244321031), we get a palindrome (573367763375).

The spelling of 130123442344 in words is "one hundred thirty billion, one hundred twenty-three million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 113 196 226 392 452 791 904 1582 3164 5537 6328 11074 22148 44296 2937589 5875178 11750356 20563123 23500712 41126246 82252492 143941861 164504984 287883722 331947557 575767444 663895114 1151534888 1327790228 2323632899 2655580456 4647265798 9294531596 16265430293 18589063192 32530860586 65061721172 130123442344